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Finding the Fourth Proportional to 12,916, 17,825.52 and 7,328.80

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Solution

The fourth proportional to 12,916, 17,825.52 and 7,328.80 is: 10,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916 : 17,825.52 = 7,328.80 : x
  2. Step 2: Convert to fraction form
    12,916/17,825.52 = 7,328.80/x
  3. Step 3: Cross multiply
    12,916x = 17,825.52 × 7,328.80
  4. Step 4: Simplify right side
    12,916x = 130,639,670.98
  5. Step 5: Solve for x
    x = 130,639,670.98/12,916
  6. Step 6: Final answer
    x = 10,114.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.